Rate of convergence to ergodic distribution for queue length in systems of the type \(M^{\theta}/G/1/N\). (Ukrainian, English) Zbl 1150.60044
Ukr. Mat. Zh. 59, No. 9, 1169-1178 (2007); translation in Ukr. Math. J. 59, No. 9, 1300-1312 (2007).
Summary: For finite-capacity queuing systems of the type \(M^{\theta}/G/1/N\) convenient formulas for the ergodic distribution of the queue length are found, an estimate for the rate of convergence of the distribution of the queue length in the transient mode to the ergodic distribution is obtained, and computational algorithms for finding the rate of convergence are presented.
MSC:
| 60K25 | Queueing theory (aspects of probability theory) |
